125.5 is what percent of 263.4 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 263.4 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 263.4, so we can write it down as 100%=263.4.
4. We know, that x% equals 125.5 of the output value, so we can write it down as x%=125.5.
5. Now we have two simple equations:
1) 100%=263.4
2) x%=125.5
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=263.4/125.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 125.5 is what percent of 263.4

100%/x%=263.4/125.5
(100/x)*x=(263.4/125.5)*x       - we multiply both sides of the equation by x
100=2.0988047808765*x       - we divide both sides of the equation by (2.0988047808765) to get x
100/2.0988047808765=x
47.646165527715=x
x=47.646165527715

now we have:
125.5 is 47.646165527715% of 263.4